Select the correct answer from each drop-down menu.
a system of equations and its solution are given below.

system a

x-y=3
-2x+4y= -2
solution: (5,2)

complete the sentences to explain what steps were followed to obtain the system of equations below.

system b
x-y=3
2x=10

to get system b, the ? equation in system a was replaced by the sum of that equation and the ? equation multiplied by ? . the solution to system b ? the same as the solution to system a.

fill in the blank where the question marks are.

you answer is a

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form